Lie algebras | Representation theory
In mathematics, specifically in representation theory, a Borel subalgebra of a Lie algebra is a maximal solvable subalgebra. The notion is named after Armand Borel. If the Lie algebra is the Lie algebra of a complex Lie group, then a Borel subalgebra is the Lie algebra of a Borel subgroup. (Wikipedia).
Prealgebra Lecture 1.6 Part 1: Division of Whole Numbers
From playlist Prealgebra Playlist 1
Prealgebra Lecture 4.3: How to Multiply and Divide Fractions
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.3: Multiplying and Dividing Fractions
From playlist Prealgebra (Full Length Videos)
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
Stefaan Vaes - Classification of regular subalgebras of the hyperfinite II1 factor
I present a joint work with Sorin Popa and Dimitri Shlyakhtenko. We prove that under a natural condition, the regular von Neumann subalgebras B of the hyperfinite II1 factor R are completely classified (up to conjugacy by an automorphism of R) by the associated discrete measured groupoid.
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
Prealgebra Lecture 4.1 Part 1: Introduction to Fractions
From playlist Prealgebra Playlist 1
Prealgebra Lecture 1.6 Part 3: Division of Whole Numbers
From playlist Prealgebra Playlist 1
Anton Alekseev: Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld
Abstract: Let G be a connected semisimple Lie group with Lie algebra 𝔤. There are two natural duality constructions that assign to it the Langlands dual group G^∨ (associated to the dual root system) and the Poisson-Lie dual group G^∗. Cartan subalgebras of 𝔤^∨ and 𝔤^∗ are isomorphic to ea
From playlist Topology
Kevin Buzzard (lecture 18/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Prealgebra Lecture 3.4 Part 2: Translating Sentences Into Equations
From playlist Prealgebra Playlist 1
Ben Webster: Gelfand-Tsetlin theory and Coulomb branches
Abstract: The algebra U(gln) contains a famous and beautiful commutative subalgebra, called the Gelfand-Tsetlin subalgebra. One problem which has attracted great attention over the recent decades is to classify the simple modules on which this subalgebra acts locally finitely (the Gelfand-
From playlist Algebra
Prealgebra Lecture 2.2 Part 1: Adding Integers
From playlist Prealgebra Playlist 1
Prealgebra Lecture 4.1 Part 3: Introduction to Fractions
From playlist Prealgebra Playlist 1
Ana Balibanu: The partial compactification of the universal centralizer
Abstract: Let G be a semisimple algebraic group of adjoint type. The universal centralizer is the family of centralizers in G of regular elements in Lie(G), parametrized by their conjugacy classes. It has a natural symplectic structure, obtained by Hamiltonian reduction from the cotangent
From playlist Algebra
Zagier's conjecture on zeta(F,4) - Alexander Goncharov
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Zagier's conjecture on zeta(F,4) Speaker: Alexander Goncharov Affiliation: Yale University; Member, School of Mathematics Date: November 10, 2017 For more videos, please visit http://video.ias.
From playlist Mathematics
Prealgebra Lecture 1.2 Part 1: Place Value and Expanded Form
From playlist Prealgebra Playlist 1
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Prealgebra Lecture 2.6: An Introduction to Solving Basic Equations
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 2.6: An Introduction to Solving Basic Equations
From playlist Prealgebra (Full Length Videos)
Xin Li: Cartan subalgebras in C*-algebras
This talk is about the notion of Cartan subalgebras introduced by Renault, based on work of Kumjian. We explain how Cartan algebras build a bridge between dynamical systems and operator algebras, and why this notion might be interesting for the structure theory of C*-algebras as well. The
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Prealgebra Lecture 3.4 Part 3: Translating Sentences Into Equations
From playlist Prealgebra Playlist 1
Representations of Galois algebras – Vyacheslav Futorny – ICM2018
Lie Theory and Generalizations Invited Lecture 7.3 Representations of Galois algebras Vyacheslav Futorny Abstract: Galois algebras allow an effective study of their representations based on the invariant skew group structure. We will survey their theory including recent results on Gelfan
From playlist Lie Theory and Generalizations